- Uniform great rhombicosidodecahedron
geometry, the uniform great rhombicosidodecahedron is a nonconvex uniform polyhedron, indexed as U67. It is also called the "quasirhombicosidodecahedron".
This model shares the name with the convex
great rhombicosidodecahedron, which is also called the "truncated icosidodecahedron". Because of this confusion the word uniform was added to this article name.
Cartesian coordinatesfor the vertices of a uniform great rhombicosidodecahedron are all the even permutations of
: (±1/τ2, 0, ±(2−1/τ)): (±1, ±1/τ3, ±1): (±1/τ, ±1/τ2, ±2/τ)
where τ = (1+√5)/2 is the
golden ratio(sometimes written φ).
List of uniform polyhedra
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